189681955200 has 384 divisors, whose sum is σ = 730725552000. Its totient is φ = 47919237120.

The previous prime is 189681955193. The next prime is 189681955201. The reversal of 189681955200 is 2559186981.

189681955200 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 81 + 9 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189681955201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583827 + ... + 1699373.

It is an arithmetic number, because the mean of its divisors is an integer number (1902931125).

Almost surely, 2^189681955200 is an apocalyptic number.

189681955200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189681955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365362776000).

189681955200 is an abundant number, since it is smaller than the sum of its proper divisors (541043596800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189681955200 is a wasteful number, since it uses less digits than its factorization.

189681955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115599 (or 115576 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 189681955200 in words is "one hundred eighty-nine billion, six hundred eighty-one million, nine hundred fifty-five thousand, two hundred".